what is x to the second power - 3x - 28= 0

Question

x2-3x-28= 0

Answer 1

x² - 3x - 28 = 0

 

This quadratic equation factors.  You want two factors that multiply to give -28 and add to give -3.  The factors are -7 and 4: (-7)(4) = -28 and -7 + 4 = -3

 

(x-7)(x+4) = 0

 

x = 7 and -4